Respuesta :
Answer:
$32000 need to pay the painters
Step-by-step explanation:
Given
50 painters paint 3 buildings in 6 days and are paid $20/hour and they work for 8 hours
let [tex]M_1[/tex] = 50, [tex]W_1[/tex]=3,[tex]D_1[/tex]=6, [tex]H_1[/tex]=8
Now more painters are hired to paint 2 buildings in 1 day.
Let the number of painters be [tex]M_2[/tex],[tex]W_2[/tex]=2,[tex]D_2[/tex]=1,[tex]H_2[/tex]=8
Now by time Work formula we get
[tex]\frac{M_1 D_1H_1}{W_1}= \frac{M_2D_2H_2}{W_2}[/tex]
Substituting the value we get.
[tex]\frac{50\times6\times8}{3}=\frac{M_2\times1\times8}{2}[/tex]
[tex]\therefore[/tex] [tex]M_2[/tex]= 200 painters
Now Painters are paid $20/ hour and had worked for 8 hour and completed in 1 day
then Money paid for 1 painter for 8 hours and for 1 day = 20[tex]\times[/tex]8 =160
[tex]\therefore[/tex] Money paid to 200 painters = 200[tex]\times[/tex] 160= $32000
